{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WGigR/kT0CSI6RkRvEtG4w/cLiGiy+f1rRLRMxXH9EHXCVVK0CHsi0XDewIKB\nDJ5xCHENS7/HicdJ1M9TtS6wfe9R12Ml5ZkGvH1ObuSNDOecuBA61JOIsgD+GsAfADgJ4HUi2iuE\n+Lllsy8BOCuE+PdE9FkAfwFgc9hj++H+W6+LNHwuSVqEGWIZdSvBJMeJ9zo6egCb4ZSyY+l+pt1W\nGmEUl7lqvaUEnatUOefEhoo4/1sAvCmEeBsAiOjbAO4BYBX+9wDY3vx5D4CvExEJDVXlzOib3a+d\naMWnqzponPX77ViLuumI9WeiIUxT8yBMTZccjxWHZuy20uim05f1HT87V0XOyGJXQgrXJQkVZp8i\nAKtX9WTzM8dthBDzAM4BuFrBsX3xxNgqvPXknXh3YqNSrWZocCARD5TdcceCv3dxqgP01OYR5WGa\nWyZnsHP/MWxaU4zdjCd7JwnAuo8MB9pXlsixiOPDz81yiKcNFZq/k1nOfv39bAMiehDAgwCwdOnS\n8CNzQOWS+pzGVohu6Kznk6HGZJOESa9fsWZIR9n7t1Su4PnDpdj8NtZzc1qRDw5k8M9vfeB7f0aW\npPkCSWxqHzcqNP+TAK6z/P5hAKdk2xDRAICFADruqhDiaSHEWiHE2sWL1Ye8qZ75k2Lv1+mgqwtg\n6x7WonRgXdFFRVxx7/ZzcxLZl+brCBKnNjQ44LpC4hj/dlQI/9cB3EhEy4loEMBnAey1bbMXwBea\nP38awAEd9n47ZpSDCpIUNaB7EqrWBHa8oO5aph1ZopWuFV0c0T1RnFu5UsWGFYtd+yMkoXFOUggt\n/Js2/K8A2A/gFwCeE0IcJaLHieju5mb/B8DVRPQmgP8KoCMcVAcqi0ZtWpOc4mVxTEJR1WFJG06J\nVlsmZzCy42VtgiqOFWxUE87k6yc8e3NwnZ8GSqp6CiFeAvCS7bPHLD9fBHCfimMlhSiTcbywRvaY\nJauZ3kSmAZcrVaWRaTLiqvS5UEHpZieqNeHZDcyazQyk1wfQ9xm+VlRWTIwrEcZJU3w2wjwGGYVc\ndNUn04TbcyQQLsnJD+bkoru+T5Dcy6DX4Oxc1Vd0VNp9AKkS/tvuWgkjq+Z1isvZ66QpxhHYuf3u\n5LT+62W8niOBaLPUh/NGLPV9glYvfXdiY6BwVy/bv0mSspl1kyrhPzZaxM5Prw4dM21k4kvuSsLD\nSpTepbJq/DRwjypvI2dkIQRiqe8TRHkytw3y7D978Dgq1Vpr4pRNoEmJ2IuDVAl/4Eov1QfWhcgj\niK8/u2tCjC44h0wdY6NFTwdlFJhlD2R296iVDD+THgBkM4QLl+axfHxfIFOR+YjWhEDOyOL+W6/j\nOj82Uif8TcI4bKs1EZutUFaJNTptAAAXzElEQVS98/PrlrYyNXWwjCMmlBFH8MDFat3V4Rq1RmzP\nZJZp5rW6QLlShQC67slRqdbwyhtnOjKn016UsC97+MqwRsmEVV5L5QrWTxzQXijKq0H61HRJSyNw\ngCMmVKHblJclco2x16URWzOZl4/vi/RYp8oV7i1tIzXCP4pKl6VyBVu/M9toPD2nr2qg20O8c/8x\nrQ5gbpAdHh2VPE0I7j6EYkyVL6MK/TRJs21fRmrMPlFlS1brAmfnqonpERqHQzgJTuhexq/9WwWm\nedCJYiGHV8dvi2Uij7LtRtpt+zJSo/nrElBxa8IyLTJLhHpT41O9MmCtKjjWomZm2eJuyhcHYWgw\niyfGVjmugnUJSHuCornKUNW4PmdksWlNEa+8ccbRLMpcITWav1uPW9XEqQnLHMJf+8xqvDOxUbng\njytDtJexFzUzBX7UpbgvXG4Ie6ey0Tqcn249g8MqEOZ5sOD3T2qEv0wobrtLfbKSAPDo1BHl+3XC\nXhQMgOuLrXp1HXVz+H5EZwluGWbI8zsTG7WZetx6BodVIN6Z2Iitd9yE5w+XYm9I3yuk5s3Vre08\nc/B45BOATJMCGpPdtYUcTpUr2Ln/WOsFUK1bzlXreGhyhkM/AxDXyjCvcaJ2qlTq1jN4bLTYdckQ\nc/WelIb0vUJqbP6APEqmEFGkwe7XTrTaSEaB7GHfvvcoLs3XW99ZJ4UoMCcUDv30Zmq6BC0V2xyo\n1oSWRjx2n4L5XMgiekyTz/a7V2LL5Ezg45UrVSxzCRXlMs7OpEbzdyOqOjVR23BlmlS5UpVqQFH4\nOJyOk0Zkdfmt32/dMxtbhnS1ric5UaaUEEGaZWs6grvB63oS1Ddy6gdY+KOhpT6wbqlye3iUBbmA\n4FE2p8oVpcXtZATRtLwEZq/g5sw02bn/mLTNoC50mJykSslcFZvWFNvq7ZilLaLsWCaA1CokbrDw\nb/LE2Crs2jziW2D72ez+W6/z3igEMie2TLu/tpDDofc+0CKA/Ah1PwKzV/Bjb05CPoSOsFzZMRbm\nDDx/uNQW3fT84RK27z0auQM8Cdc+aaTK5i/DGnt8lZFBpeouHHNGBvM1garLejNnZLD2+kWqh9qG\nrNQDAMc47mVX5/CMptr/TjZf65jNccsEZq/5DGTCpVSuYNn4PmSJtJv57a4FXbH8W++4yfH5I3Ku\nIKoj8olzUTpJvfC3O6cqVe+W0X630eH89Cr1YJ0UHn5uNrJx2HHTgr3qK/WSlmYqDl6CPWr/jx0C\nsGvziLQGVJTIlJKHunDmBiUDIJulttUtZ/g6QzH0UffF2rVrxaFDhyI/zvqJA5FGA5gp80nALSJC\nFzkj66npJemauRFFvShVJPEaqnjXMnTFweskuYbzBrbdtbI18RTyBoQAzlX01d6KGyI6LIRY67Vd\n6m3+UWuZSdJi/fgzIvZRewpKa8ZwkpzBTmNJQrKWE0nVdFXUMFowkME7Exul35fnqq0Etl2bR1ql\nq3vdpxQFqRf+qmyBMpmZJFujlwPaqlXFhQDw0OQMRna8jK17ZtucwQ9NzmjLnLYic0wnMX68kDMS\nW6deReOaSrXuWg7C+jknfbmTepu/k3OqGz52wyK8+tYHHZ9vWLE41H5VYiac7X7tBGpCgADkB7OY\nu1yLvKRuEATgOBaBRub0i7On25bxADqKpKkqTTw1XcLDz8122OzNuPW4J0s7l+a9/VFRIyveBqhp\nXLN971HHFap9xeOWUcywzR9A42HtJrPQynDewFmHyoRJtL06EbXvIyqMDAEEx/DVnJFt04LdhJIT\nSbbpuxHnM+d0zYwsYWhwAOea5pcoKOQMbL97Zdv9lD3TvfJOdotfm3/qNX+g2di9qTl2i5PgB5y1\njKBCSAe9qg1VXXr7Vao1bJmcwY4XjmLjzUvw/OGSNPzU6Z4k1abvRZz30umaVWsi8lXl0IKBjndI\nFnKaRH9IHLDwb6LK/GMnQ4Tl4/ukMfhJqYejs5uUbs7OVR3zG8w6SIDzPUmq4Cc0mrK88sYZx3sW\np58pronH6Tp4tTxNO2z2sWDV/qKygcuKyMW9FO1VE4cKZCa7JGKGMpqrFSfNNk6Hb1zmQzOvgQU7\nh3oGwgzjM5NQdm0ewdCCaBZFsgklbrOLteR12kiq4Lf6NIfzBp7aPILpx25vCbi4mrK4obMlpRWu\n3xOc1Gv+Mu1JtwYct+ZvJQnJYExD+LvFtCcV6wq6kDdw/uK8q29GFb16vVSjRfMnokVE9I9E9Mvm\n/8OS7WpENNP8tzfMMVUjiwV2S4jKhEyEsv950pxQMu2/kDNa35nXJ29kIk8MSytJyhEJytkLlyDQ\nWFWpFPxehQsZ/4S1bYwD+CchxAQRjTd//1OH7SpCiJGQx4oEmbmlJkTHCsB0tK29fpFnfRo3BK4U\n3VIVj64SWZSEPZTOyvLxfXH0J+lrkqQQWHGLVlMRNm2nkDM68jo4iic8YYX/PQA+3vz5WwB+CGfh\nn1hkUS5FS7if00Nu/t+tiUSgoT2bbRat+4ybbqIk+jlaKA4KOSMxz4MVWZcuoPHcmNFTKhlaMICZ\nbbd3fM5RPOEIZfMnorIQomD5/awQosP0Q0TzAGYAzAOYEEJMee07bpu/X8fZ6OMvK3EYxh2lEZap\n6RIempxh7V8BSX4WvBKnovIXJXGFnFSU2fyJ6AdE9DOHf/cEGM/S5mA+B+ApIrpBcqwHiegQER06\ncyZ8GrgfwkZMqOqM1es1R8ZGi/h8BN3Q0kKWKDERO2649S1YP3EgsuNyUTb1hNX8jwH4uBDiNBEt\nAfBDIYSr4Y2I/g7Ai0KIPW7bxRHn3y1T0yXseOGokhXAuz0erWDag0vlSlx9yhNPhgCrDzTJmr6d\nuMuAJCkqLqnoKu+wF8AXAEw0//8Hh4EMA5gTQlwiomsArAfwlyGPGxsyZ9fO/cdCC3+ixsvVy3ZM\na3MZ60TANPDyJSWNqelGm0UzP2VoUH8Mv5W482H6ibDCfwLAc0T0JQDHAdwHAES0FsCXhRB/DOCj\nAP43EdXRMDNNCCF+HvK4seDm7FIh4IS4sp+klH0Ig30isAqRfiZnZLFpTbGtlpD5uSnoe+GeTk2X\nsPU7s22hmhcux5sBzuGc6kh9klcQZEteMxQtiis5nDcw/VhnpEMv89E/+75jK0xq2okKeQOXqjXM\n+WiXqRtCY3xuq7ynmmUGkljALwhxm3js9JJ5LE64qmcEyJacUWqzZ+eqeHTqSFtuQS8KEitP3ntz\nh0ZpZAg771vdVrMmaVjzPGSRTcVCri0cuFfvEZAsE0uWiAW/Ylj4ByCuWPZnDh7H5I9PtIRlr5uE\nvPII/JRSNrKEzf/hug7TihvFQmfzF6/9v/LGGccxHnrvAzx78HjbBNAPiUbW1Uqm2RjHieG8gV9X\n5pU3pnfqz8AafzSw2ScAspyAq4xMLMXB+jXywS1bmIA2QezHlyATHm6VTK0rERm9btax47eyqzkx\nfu8nJaU+gCwRvvaZ1QA4gSsMfs0+LPwD4vTCA53p5jro10JW3XRgspfjJmo08/YSHrI2jV7H60f8\n2PiH8wY23rwEk6+fcOye1i2s3auDbf4R4WbH1R3WKNB4Ya2mjH7QlrrpwNStfX1stNgq5W0nSTZv\nHXg9uzkji403L2n1gA5Llgh1IXr+ee1VWPNXTBQREkaWACFvWdiPdlKdJpW09noF2q+zH0mgKnHP\n+nz2m/ksbtjsExNRdcTKELBgIOMYIikjDcJLBUnsiKUD3d3bhvNGhykurdc+StjsExPmA6u6yFld\nIJDgBxrLeGv/YH6ZnElrr1fdDerzgwMdOSuyfho79x/r++sfNyz8I8DNjqwbgd4PDdVBr8fk+8Fu\nXtEdtuzkQ3ErFMdEC/fwjYikpaH3etVQJhymeaXUtO2bhfd04vROyN4TAriCZ8Sw8I+IuBpZu5G2\n6JW0MzVdwvqJA1g+vg8PPzfbYV4xO8qpImdk8MC6pY5tFmXRWlvvuMlxDNyQPXpY+EeE2SegkHPu\nNxoHppZlFQrrJw6whtWH2DV9WWimQENoq+BitY611y/C9GO346nNI756ZIyNFqW+MVZWooWjfTSQ\nhNLGZgQF4Nz/lKMrehO7HX/DisV45Y0zvp81M9ZelRToJsIszaG2UaCskxcTnrHRIl4dvw1PbR6J\nxRSUIWDTmmKr74AsuoLpLZzs+M8cPB5IyagpFPxAd9q6k4m0H+okJR2O9tGINaTQ6wUt5AwMLRhQ\nslqoC2Dy9RMA5FEUQV9aTsyJH92hmn7oJtAhraG2ccPCXzNmSKFbJnDOyGL73SsxNlp0LXIWhGpN\n4JmDx6XfZ4gwNV3y9cK5NbXhF1YfcdrEMwDsWSdhtPU0hNomDTb7xIQsGmg4b7TZ33WFjNaE8N0g\nm01HySDOcOIlhZxvpy6TTFjzjwm/S12nImdR4Sezcmq6pMx0xFyhGzOazmfDzqlyhbX1HoeFf4z4\neXnM77/6vSNa+qe6CXCvDltJS2xLEm7C3cmMtmVyBtv3Hm2Z/5wI4kNSDd/r3oeFfw9gRulcuBz9\nCy4A3PDIS6gJgWyzk5PZAcvLwbhhxeLIx9eLePlIZNe1XKl6+lJMBeLRqSOuPh2VcCROf8DCPyF4\nLft1mlTMhCDzf1NYeZkXnj9cwtrrF8ViCujGbKIrYsmreJnbva1Ua3j4uVkA7s70J8ZW4Z0z5/Hq\nWx+oGbSEIkfi9A0s/BOAn+iZuPoHm/ixK1eqNWzfezSwYAgrhLuJPtIZsSQT7qfKFUxNl1x75QKN\nSXjL5Ay2TM4gQ43Q3aIloetUuYJC3sA5l1aWQbHX7edEwP6Do30SgJ/omSTWCnKiXKkGKhfhlKjk\nN+rIpJvooygjluzlMxZKSnwU8gYe+e6RQF2xzH4+1oQuAeDsXBWSXj+BMDKEpzaPYBdH8vQ9rPkn\nADfN0MQeHbQwZ7g2LY+TLZMz2Ln/mC8NXiaEg+zDrSywLHfBzzUHgq9KnFYURpZgZKitE1vOyEII\nfysqXRRyRpuDmYV9f8PCPwHITDr2iAp7dNBH/+z7gRu86MKvGcXN3m3dByAPi3Uzicn+XjZ5Wq95\nENOQW/2mak1gaDCLerXecqRvWlPEs5octE4QgHcmNsZ2fCZ+uLBbAuimld3UdAlb98y29e1NIrLi\nXEGK3RVyBi7N19uuj2mTNm3fzx8uSbXovJGBALV9L+uLPJw3sO2ula5Z2PZz6qYdYs7IYsFAJrbV\nGxdN61+4jWMP0U1tk537jzkKftMhqKrRdlhK5QqWje9rmRQAYPveo4GEntO25rmVyhU8f7iETWuK\n0lDHOYfVUbUmMJw3IET7/s/OXQmv9Gsa2vHC0cDmm0q1hquMDHJGVrvph0M1GYA1/55FVvPHXM4n\noYy0nQyAbJYiW61kPaJm7BDcTUay/ZllkAt5AxertVCmt7yRcZycVHDjh4bw9pm5tnPgUM3+R0tJ\nZyK6j4iOElGdiKQHI6JPENExInqTiMbDHJNpIMuwND83y0i/O7FRe7s+GXUgUjNVEMEPNK6Vm89B\ntj+zDPLZuWpon0tUgh8AfvmrC23nYGr8LPgZIHyo588A3AvgR7INiCgL4K8B/CGA3wJwPxH9Vsjj\npp4gNdA/v26prmH1FBcuzSfCNKYLLr7HWAll8xdC/AIAiFx1y1sAvCmEeLu57bcB3APg52GOnXaC\n+AmeGGt08Nr92glP7TgpvgIdJDVUNkq4+B5josPhWwRwwvL7SQC3ajhu3xOkquITY6tak4BbL4GP\n3bAI775faQgJAmRzxXDewPmL8x3RMiZpmkSSALncKytckI0x8TT7ENEPiOhnDv/u8XkMp2WB42NK\nRA8S0SEiOnTmzBmfu2eCsvWOm6R+gHffr+DV8dsaMeASYUIAph+7HTvvW41iU5hkm6u/YiGHB9Yt\nRSGfnMb1vU5BkiFsMpw3sOsz3i1COcqHseKp+Qshfj/kMU4CuM7y+4cBnJIc62kATwONaJ+Qx2Uk\njI0WsWVyxvG7UrmC9RMHcKpckdacsTqVnZKd4qox7wShoRWrKH0QB2begeya5oxsKy8BaDcDWmv/\ncGtExo4Os8/rAG4kouUASgA+C+BzGo7LuFCUhDgSrvT5dRL8XtpjEvvK/sZVBi5cnk9sQpybycYu\n2EvlSkepbWs5BhbujF9CCX8i+hSA/wFgMYB9RDQjhLiDiK4F8A0hxJ1CiHki+gqA/QCyAL4phDga\neuRMKJy6QMns9GZcux/tUZVDMZshiLro6BMbFIGGY9fIkG+7uG5yA50ZyIRGlBYLdiYqwkb7fA/A\n9xw+PwXgTsvvLwF4KcyxGLU4mQlkTuC6EL7rwKgoPe2UeRsWmWPaL0aGsPmW6/Di7GnHcbk5uL2c\n35VqHbs2j2jpLcAwJpzhy7TwW8vGjW5s/k5Zp7IMZl0QgKuMDC5W645tF+2CGmiUeTg7V239vVl7\nyPxbFdeXYbzg2j5MYJxMQUEjROwrioIkJDRDwOduXdoKP7UjW0GY9m4nbdoshhe0rMXQYBZ//in/\n9eplJphuGq5zBA4TFyz8mRbdFJiT7cf6N9106pIJSmulU7f9Bll9FPKDWkwsqq4vw6iAzT5MYgnT\n3tH6t15tErm2PdNPsNmH6XnCRLhY/9bLD8FZr0wa4R6+TN8zNlrEk/eucsyUZZs7k1ZY+DOpYGy0\niJltt+MpbkzOMADY7MOkDE6WYpgGrPkzDMOkEBb+DMMwKYSFP8MwTAph4c8wDJNCWPgzDMOkEBb+\nDMMwKSSx5R2I6AyA92I6/DUA/i2mY+smLefK59lf8HnKuV4Isdhro8QK/zghokN+amP0A2k5Vz7P\n/oLPMzxs9mEYhkkhLPwZhmFSCAt/Z56OewAaScu58nn2F3yeIWGbP8MwTAphzZ9hGCaFsPAHQET3\nEdFRIqoTkdSzTkSfIKJjRPQmEY3rHKMqiGgREf0jEf2y+f+wZLsaEc00/+3VPc5u8Lo/RLSAiCab\n379GRMv0j1INPs71i0R0xnIP/ziOcYaBiL5JRL8iop9Jvici+u/Na/BTIvod3WNUgY/z/DgRnbPc\ny8eUHFgIkfp/AD4K4CYAPwSwVrJNFsBbAD4CYBDALIDfinvsXZzrXwIYb/48DuAvJNudj3usAc/L\n8/4A+BMAf9P8+bMAJuMed4Tn+kUAX497rCHP8z8C+B0AP5N8fyeA76PRiXMdgNfiHnNE5/lxAC+q\nPi5r/gCEEL8QQhzz2OwWAG8KId4WQlwG8G0A90Q/OuXcA+BbzZ+/BWAsxrGoxM/9sZ77HgC/R0Sk\ncYyq6Jdn0RUhxI8AfOCyyT0A/l40OAigQERL9IxOHT7OMxJY+PunCOCE5feTzc96jX8nhDgNAM3/\nPyTZ7ioiOkREB4moFyYIP/entY0QYh7AOQBXaxmdWvw+i5ua5pA9RHSdnqFppV/eST/8LhHNEtH3\niWilih2mppMXEf0AwG86fPVVIcQ/+NmFw2eJDJVyO9cAu1kqhDhFRB8BcICIjggh3lIzwkjwc396\n5h564Oc8XgCwWwhxiYi+jMaK57bIR6aXfrmfXvwEjZIN54noTgBTAG4Mu9PUCH8hxO+H3MVJAFbt\n6cMAToXcZyS4nSsR/SsRLRFCnG4ukX8l2cep5v9vE9EPAYyiYWdOKn7uj7nNSSIaALAQMSy3FeB5\nrkKI9y2//i2Av9AwLt30zDsZBiHEry0/v0RE/5OIrhFChKptxGYf/7wO4EYiWk5Eg2g4DHsiCsbG\nXgBfaP78BQAdqx4iGiaiBc2frwGwHsDPtY2wO/zcH+u5fxrAAdH0qPUYnudqs33fDeAXGseni70A\n/qgZ9bMOwDnTpNlPENFvmr4pIroFDbn9vvtf+SBuT3cS/gH4FBpaxCUA/wpgf/PzawG8ZNnuTgD/\ngoYG/NW4x93luV4N4J8A/LL5/6Lm52sBfKP588cAHEEjiuQIgC/FPW6f59ZxfwA8DuDu5s9XAfgO\ngDcB/BjAR+Iec4Tn+iSAo817+AqAFXGPuYtz3A3gNIBq8/38EoAvA/hy83sC8NfNa3AEkki9pP/z\ncZ5fsdzLgwA+puK4nOHLMAyTQtjswzAMk0JY+DMMw6QQFv4MwzAphIU/wzBMCmHhzzAMk0JY+DMM\nw6QQFv4MwzAphIU/wzBMCvn/Xqo0L6lKNiMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2100608b2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x1, y1 = datasets.make_circles(n_samples=2000, factor=0.5, noise=0.05)\n",
    "x2, y2 = datasets.make_blobs(n_samples=1000, centers=[[1.2,1.2]], cluster_std=[[.1]])\n",
    "\n",
    "x = np.concatenate((x1, x2))\n",
    "plt.scatter(x[:, 0], x[:, 1], marker='o')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XVCDltmqPKGcvSL3JQh9smsv+FgVP69efR2bNsMzeZ6tWMmXtanqkZxA2DLaW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\nHQXJVzVgXEGlXI2WfCnK0QU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6nEx8fhoPf34Pw04/rFk22hqWTEuVUmcqpVYrpdYppe6P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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2100644a198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "y_pred = KMeans(n_clusters=3).fit_predict(x)\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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srtO96TG+83MdvyzLBN4KRiWp8D9320noStDjuy4um4+C+1CcfxokLDgcc6yF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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x210021cb780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import DBSCAN\n",
    "y_pred = DBSCAN().fit_predict(x)\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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smfQTh7cdw6AYOLzjeFot+u0rdud6XXhruJUGt9e59oU6eZ7wYmEYTUqWXb2C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\nNOWvoaGhkQ/5P6+nf61xZ3YhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2100650a748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_pred = DBSCAN(eps = 0.2).fit_predict(x)\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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HsPjQATRdDxiGFy7hV/CXIDDw1zo7Vk7ZoVro2aQpw2pQ8sCk9nBJx878feG8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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2100602ba90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_pred = DBSCAN(eps = 0.2, min_samples=50).fit_predict(x)\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
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